Yazar "Nesovic, Emilija" için listeleme
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THE FIRST KIND AND THE SECOND KIND OSCULATING CURVES IN MINKOWSKI SPACE-TIME
Ilarslan, Kazim; Nesovic, Emilija (Publ House Bulgarian Acad Sci, 2009)In this paper we define the first kind and the second kind osculating curve in Minkowski space-time E-1(4). We restrict our investigation of osculating curves in E-1(4) to spacelike curves whose Frenet frame contains only ... -
Mannheim B-Curve Couples In Minkowski 3-Space
Ilarslan, Kazim; Ucum, Ail; Nesovic, Emilija; Aslan, Nihail Kilic (TAMKANG UNIV, 2020)In this paper, we define null Cartan Mannheim and pseudo null Mannheim curves in Minkowski 3-space according to their Bishop frames. We obtain the necessary and the sufficient conditions for pseudo null curves to be Mannheim ... -
Note On Bertrand B-Pairs Of Curves In Minkowski 3-Space
Ilarslan, Kazim; Ucum, Ali; Aslan, Nihal Kilic; Nesovic, Emilija (Honam Mathematical Soc, 2018)In this paper, we define null Cartan and pseudo null Bertrand curves in Minkowski space ET according to their Bishop frames. We obtain the necessary and sufficient conditions for pseudo null curves to be Bertand B-curves ... -
A Note On Lamarle Formula Inminkowski 3-Space
Ozturk, Ufuk; Ilarslan, Kazim; Ozturk, Esra Betul Koc; Nesovic, Emilija (Tamkang Univ, 2018)The Lamarle formula is known as a simple relation between the Gaussian curvature and the distribution parameter of a non-developable ruled surface. In this paper, we obtain the Lamarle formula of a non-developable ruled ... -
On Bishop frame of a null Cartan curve in Minkowski space-time
Ilarslan, Kazim; Nesovic, Emilija (World Scientific Publ Co Pte Ltd, 2018)In this paper, we define the Bishop frame of a null Cartan curve in Minkowski space-time E-1(4). We obtain the Bishop's frame equations of a null Cartan curve which lies in the timelike hyperplane of E-1(4). We show that ... -
On Generalized Null Mannheim Curves In Minkowski Space-Time
Grbovic, Milica; Ilarslan, Kazim; Nesovic, Emilija (Publications L Institut Mathematique Matematicki, 2016)We define generalized null Mannheim curves in Minkowski space-time and characterize them and their generalized Mannheim mate curves in terms of curvature functions, and obtain relations between their frames. We provide ... -
On Generalized Spacelike Mannheim Curves in Minkowski Space-Time
Ilarslan, Kazim; Ucum, Ali; Nesovic, Emilija (Natl Acad Sciences India, 2016)In this paper, by taking consideration of all possible causal characters of the plane spanned by {B-1*; B-2* }, we give the necessary and sufficient conditions for spacelike curves in E-1(4) to be generalized spacelike ... -
On Generalized Timelike Mannheim Curves in Minkowski Space-time
Ucum, Ali; Nesovic, Emilija; Ilarslan, Kazim (Taylor & Francis Ltd, 2015)In Minkowski space-time, timelike generalized Mannheim curves are studied by Akyigit and et al in [1]. In that paper, the authors take the Mannheim mate alpha* of the timelike curve a as a timelike curve in Minkowski ... -
On Pseudospherical Smarandache Curves in Minkowski 3-Space
Ozturk, Esra Betul Koc; Ozturk, Ufuk; Ilarslan, Kazim; Nesovic, Emilija (Hindawi Ltd, 2014)In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions ... -
On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space
Nesovic, Emilija; Ozturk, Ufuk; Ozturk, Esra B. Koc; Ilarslan, Kazim (Int Electronic Journal Geometry, 2016)In this paper, we classify the ruled surfaces with a pseudo null base curve in Minkowski 3-space as spacelike, timelike and lightlike surfaces and obtain the corresponding striction curve and distribution parameter. In ... -
Some characterizations of null osculating curves in the Minkowski space-time
Ilarslan, Kazim; Nesovic, Emilija (Estonian Academy Publishers, 2012)In this paper we give the necessary and sufficient conditions for null curves in E-1(4), to be osculating curves in terms of their curvature functions. In particular, we obtain some relations between null normal curves and ... -
Tensor product surfaces of a Lorentzian space curve and a Euclidean plane curve
Ilarslan, Kazim; Nesovic, Emilija (Academic Publication Council, 2007)In this paper, we classify all minimal, totally real and complex tensor product surfaces of a Lorentzian space curve and a Euclidean plane curve.